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$(1$ point$)$ Consider $a=(2,-2,3),b=(2,-1,-3)$ and $c=(5,-5,-3).$ Find the angles between the following vectors:

The angle between a and $b$ is:

The angle between a and $c$ is:

The angle between $b$ and $c$ is:

Note: The angles must be written in radians and correct up to $3$ decimal places.